AB is a part of an electrical circuit (see figure). The potential difference at the instant when current and is increasing at a rate of 1 amp/second is [2025]

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Solution

Q.
AB is a part of an electrical circuit (see figure). The potential difference $'' V_{A} - V_{B}'',$ at the instant when current $i = 2 A$ and is increasing at a rate of 1 amp/second is [2025]

1 9 volt

2 10 volt

3 5 volt

4 6 volt

Ans.
(2)

From the diagram (Using KVL)

$V_{A} - L \frac{d i}{d t} - 5 - 2 i = V_{B}$

Using, $i = 2 A, \frac{d i}{d t} = 1$ $A/sec$ and $L = 1$ $H,$ we get

$V_{A} - 1 - 5 - 4 = V_{B} \Rightarrow V_{A} - V_{B} = 10$ $V$

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